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The near-point of a person suffering from hypermetropia is at 50 cm from his eye. What is the nature and power of the lens needed to correct this defect?

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The near-point of a person suffering from hypermetropia is at 50 cm from his eye. What is the nature and power of the lens needed to correct this defect? (Assume that the near-point of the normal eye is 25 cm).

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The person needs a convex lens to rectify this defect.

Calculation of power of the lens:

The hypermetropic eye can see the nearby object kept at 25 cm clearly if the image is formed at its own near point i.2. 50 cm.

So, object distance, u = -25 cm

Image distance, v = -50 cm

\(\frac{1}{v}\) - \(\frac{1}{u}\) = \(\frac{1}{f}\)

\(\frac{1}{-50}\) - \(\frac{1}{ -25}\) = \(\frac{1}{f}\)

f = 50 cm

P = \(\frac{100}{f}\) = \(\frac{100}{50}\)

= 2D

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